Solve: L{e-2t + 4e}

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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laplace transform. solve using long method.
EXAMPLE 3
Solve: L{e-2t + 4e³*}
1
4
s+2
S- 3
Solution:
(s – 3) + 4(s + 2)
(s + 2)(s – 3)
= L{e-2"} + L{4e*}
3+45+8
1
= L{e-"} + 4L{e*}
(s + 2)(s – 3)
8-a
5s +5
+ 4
–2)
(s + 2)(s – 3)
4
%3D
s+2+5=3
Transcribed Image Text:EXAMPLE 3 Solve: L{e-2t + 4e³*} 1 4 s+2 S- 3 Solution: (s – 3) + 4(s + 2) (s + 2)(s – 3) = L{e-2"} + L{4e*} 3+45+8 1 = L{e-"} + 4L{e*} (s + 2)(s – 3) 8-a 5s +5 + 4 –2) (s + 2)(s – 3) 4 %3D s+2+5=3
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